Abstract
In this chapter we consider the simplest optimal design problem for the best structure of a two-component conducting body of minimal or maximal total conductivity. This problem was used as a testing ground for various methods of structural optimization. To solve it, we introduce several different approaches, which are driven by different arguments but lead to similar results. Each approach has an analogue for the one-dimensional variational problem discussed in Chapter 1, and each approach will be developed for more general multidimensional problems.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Cherkaev, A. (2000). Domains of Extremal Conductivity. In: Variational Methods for Structural Optimization. Applied Mathematical Sciences, vol 140. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1188-4_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1188-4_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7038-6
Online ISBN: 978-1-4612-1188-4
eBook Packages: Springer Book Archive